Hi everyone,
Tomorrow Jacob Sanders will tell us a very interesting story on how to
apply compressed sensing for vibrational spectroscopy of large molecules.
Please see his abstract below.
See you there,
Felipe Herrera
*Abstract:*
Matrices arise in many scientific applications but are often costly to
compute element-by-element. This paper proposes a two-pronged method for
computing matrices less expensively: first, cheaply identifying a basis in
which the matrix is sparse; and second, applying the ideas of compressed
sensing to recover this sparse matrix at a low cost which scales only with
the number of non-zero entries in the matrix. In particular, we apply the
method to recovering the quantum mechanical vibrational modes and
frequencies of a moderately-sized molecule such as anthracene at one-third
the typical computational cost. We conclude by showing how our compressed
sensing method scales favorably with the size of the molecule compared to
the standard approach. I will endeavor to make the entire talk completely
accessible to everyone in the group!
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